展开 (e^xsin(y)-3x^2)dx

解答

展开

(e^{x} sin (y) - 3 x^{2}) d x

e^{x} sin (y) d x - 3 x^{2} d x

求解步骤

(e^{x} sin (y) - 3 x^{2}) d x

使用分配律:

a (b - c) = ab - a c

a = d x, b = e^{x} sin (y), c = 3 x^{2}

= d x e^{x} sin (y) - d x \cdot 3 x^{2}

= e^{x} sin (y) d x - 3 x^{2} d x

e x p an d (r sin (θ) - 3)^{2}

e x p an d 5 (2^{x} + x)^{4} (2^{x} ln (2) + 1)

e x p an d (- 1 + 3)^{4}

e x p an d (3 x^{2} + 6 x y^{2}) d x + (6 x^{2} y + 4 y^{3}) d y

e x p an d \frac{1}{( t ^{2} - 1 ) ^{2}}